A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁: H₁>H₂ OB. Ho: H₁₂ H₁₁₂ D. Ho H₁ =H2 H₁₁₂ The test statistic, t, is -1.55. (Round to two decimal places as needed.) The P-value is 0.126. (Round to three decimal places as needed.) State the conclusion for the test. OA. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OC. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OD. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. (Round to three decimal places as needed.) Treatment Placeba μ H1 H2 n 25 40 X 2.38 2.65 S 0.53 0.87
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁: H₁>H₂ OB. Ho: H₁₂ H₁₁₂ D. Ho H₁ =H2 H₁₁₂ The test statistic, t, is -1.55. (Round to two decimal places as needed.) The P-value is 0.126. (Round to three decimal places as needed.) State the conclusion for the test. OA. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OC. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OD. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. (Round to three decimal places as needed.) Treatment Placeba μ H1 H2 n 25 40 X 2.38 2.65 S 0.53 0.87
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random
samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a
0.01 significance level for both parts.
What are the null and alternative hypotheses?
OA. Ho: H1 H2
H₁: H₁>H₂
OB. Ho: H₁₂
H₁₁₂
D. Ho H₁ =H2
H₁₁₂
The test statistic, t, is -1.55. (Round to two decimal places as needed.)
The P-value is 0.126. (Round to three decimal places as needed.)
State the conclusion for the test.
OA. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
B. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OC. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
OD. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean.
b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.
(Round to three decimal places as needed.)
Treatment Placeba
μ
H1
H2
n
25
40
X
2.38
2.65
S
0.53
0.87
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